TII subcells for the Spin(6,1) x PSp(6,R) block of Spin7
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cell#0 , |C| = 4
special orbit = [3, 1, 1, 1, 1]
special rep = [[1], [1, 1]] , dim = 3
cell rep = phi[[1, 1, 1],[]]+phi[[1],[1, 1]]
TII depth = 1
TII multiplicity polynomial = 2*X+X^2
TII subcells:
  tii[2,1] := {0, 1}
  tii[2,2] := {2}
  tii[2,3] := {3}

cell#1 , |C| = 1
special orbit = [1, 1, 1, 1, 1, 1, 1]
special rep = [[], [1, 1, 1]] , dim = 1
cell rep = phi[[],[1, 1, 1]]
TII depth = 1
TII multiplicity polynomial = X
TII subcells:
  tii[1,1] := {0}